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Finding the Third Proportional to 147,318 and 226,728

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Solution

The third proportional to 147,318 and 226,728 is: 348,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,318 : 226,728 = 226,728 : x
  2. Step 2: Convert to fraction form
    147,318/226,728 = 226,728/x
  3. Step 3: Cross multiply
    147,318x = 226,728 × 226,728
  4. Step 4: Simplify right side
    147,318x = 51,405,585,984
  5. Step 5: Solve for x
    x = 51,405,585,984/147,318
  6. Step 6: Final answer
    x = 348,943.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.